This section reviews some basic facts of the theory of inner \(\alpha \) -Riesz equilibrium measures, developed in [1]}, [2]}, [3]}. The inner equilibrium measure \(\gamma _A\)  of \(A\subset \mathbb {R}^n\)  is understood in an extended sense where its energy \(\kappa _\alpha (\gamma _A,\gamma _A)\)  as well as its total mass \(\gamma _A(\mathbb {R}^n)\)  may be infinite (compare with (REF )).
